(y-7)(y-1)=

Solution for (y-7)(y-1)= equation:

Simplifying
(y + -7)(y + -1) = 0

Reorder the terms:
(-7 + y)(y + -1) = 0

Reorder the terms:
(-7 + y)(-1 + y) = 0

Multiply (-7 + y) * (-1 + y)
(-7(-1 + y) + y(-1 + y)) = 0
((-1 * -7 + y * -7) + y(-1 + y)) = 0
((7 + -7y) + y(-1 + y)) = 0
(7 + -7y + (-1 * y + y * y)) = 0
(7 + -7y + (-1y + y2)) = 0

Combine like terms: -7y + -1y = -8y
(7 + -8y + y2) = 0

Solving
7 + -8y + y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1 + -1y)(7 + -1y) = 0

Subproblem 1
Set the factor '(1 + -1y)' equal to zero and attempt to solve:

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {1, 7}